Pith Number

pith:WKPH2SDD

pith:2026:WKPH2SDDGGOJTUIIX4SGCNKMXB

not attested not anchored not stored refs pending

Polar perturbations of dilaton-Euler-Heisenberg black holes

De-Cheng Zou, Ming Zhang, Sheng-Yuan Li, Xufen Zhang, Yun Soo Myung

arxiv:2601.13521 v2 · 2026-01-20 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKPH2SDDGGOJTUIIX4SGCNKMXB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-09T02:08:37.306621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29e7d4863319c99d108bf2461354cb85109e29ff1b64c371d0e387ee6086192

Aliases

arxiv: 2601.13521 · arxiv_version: 2601.13521v2 · doi: 10.48550/arxiv.2601.13521 · pith_short_12: WKPH2SDDGGOJ · pith_short_16: WKPH2SDDGGOJTUII · pith_short_8: WKPH2SDD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WKPH2SDDGGOJTUIIX4SGCNKMXB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b29e7d4863319c99d108bf2461354cb85109e29ff1b64c371d0e387ee6086192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb53e3e3f6dc1fcc1b8b2606f48fe04c98549d4c59910c0aff78adb74765ba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-01-20T02:15:30Z",
    "title_canon_sha256": "79531e89ae7f14077831e77c608c00d483fa73b5498eecd132641411028748af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.13521",
    "kind": "arxiv",
    "version": 2
  }
}